Results 51 to 60 of about 16,256 (203)

Simultaneous Inversion for Underactuated Mechanical Systems with Servo‐Constraints

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT The dynamic inversion of underactuated mechanical systems can be formulated in the servo‐constraint framework using a set of differential‐algebraic equations (DAEs). In case of a high differentiation index, the inversion‐based feedforward control design poses significant challenges.
Tengman Wang
wiley   +1 more source

On Some Numerical Methods for Solving Large Differential Nonsymmetric Stein Matrix Equations

Mathematical and Computational Applications, 2022
In this paper, we propose a new numerical method based on the extended block Arnoldi algorithm for solving large-scale differential nonsymmetric Stein matrix equations with low-rank right-hand sides.
Lakhlifa Sadek, El Mostafa Sadek, Hamad Talibi Alaoui   +2 more
doaj   +1 more source

Iterative Krylov Subspace Methods for Linear Port‐Hamiltonian Systems

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT In this work, we present a structure‐preserving Krylov subspace iteration scheme for solving the equation systems that arise from the Gauss integration of linear energy‐conserving and dissipative differential systems (e.g., Poisson systems, gradient systems, and port‐Hamiltonian systems).
Stefan Maier, Nicole Marheineke
wiley   +1 more source

Extended block Hessenberg method for large-scale Sylvester differential matrix equations [PDF]

Journal of Mahani Mathematical Research
In this paper, we consider large-scale low-rank Sylvester differential matrix equations. We present two iterative methods for the approximate solution of such differential matrix equations. In the first method, exploiting the extended block Krylov method,
Azita Tajaddini
doaj   +1 more source

Robust Reduced-Rank Adaptive Processing Based on Parallel Subgradient Projection and Krylov Subspace Techniques [PDF]

, 2013
In this paper, we propose a novel reduced-rank adaptive filtering algorithm by blending the idea of the Krylov subspace methods with the set-theoretic adaptive filtering framework.
Isao Yamada, Masahiro Yukawa, Rodrigo C. De Lamare, Senior Member   +3 more
core  

Explicit‐Implicit Material Point Method for Dense Granular Flows With a Novel Regularized µ(I) Model

International Journal for Numerical and Analytical Methods in Geomechanics, Volume 50, Issue 7, Page 3256-3273, May 2026.
ABSTRACT The material point method (MPM) is widely employed to simulate granular flows. Although explicit time integration is favored in most current MPM implementations for its simplicity, it cannot rigorously incorporate the incompressible µ(I)‐rheology, an efficient model ubiquitously adopted in other particle‐based numerical methods. While operator‐
Hang Feng, Zhen‐Yu Yin
wiley   +1 more source

Biorthogonal Extended Krylov Subspace Methods

, 2018
Extended Krylov subspace methods generalize classical Krylov, since also products with the inverse of the matrix under consideration are allowed. Recent advances have shown how to efficiently construct an orthogonal basis for the extended subspace, as well as how to build the highly structured projected matrix, named an extended Hessenberg matrix.
Van Buggenhout, Niel, Van Barel, Marc, Vandebril, Raf   +2 more
openaire   +4 more sources

Chebyshev semi-iteration in Preconditioning [PDF]

, 2008
It is widely believed that Krylov subspace iterative methods are better than Chebyshev semi-iterative methods. When the solution of a linear system with a symmetric and positive definite coefficient matrix is required then the Conjugate Gradient method ...
Rees, Tyrone, Wathen, A. J.
core  

Local Fourier Analysis of the Complex Shifted Laplacian preconditioner for Helmholtz problems

, 2013
In this paper we solve the Helmholtz equation with multigrid preconditioned Krylov subspace methods. The class of Shifted Laplacian preconditioners are known to significantly speed-up Krylov convergence.
Bayliss, Berenger, Bollhöfer, Brandt, Brandt, Briggs, Elman, Erlangga, Erlangga, Erlangga, Ernst, Gijzen, Haber, Osei-Kuffuor, Reps, Reps, Rodrigo, Saad, Simoncini, Stüben, Trottenberg, Van der Vorst, Wienands, Wienands   +23 more
core   +1 more source

Forward and Adjoint Calculations of Gravitational Potential in Heterogeneous, Aspherical Planets

Earth and Space Science, Volume 13, Issue 5, May 2026.
Abstract We have developed a computational package for the calculation of numerically exact internal and external gravitational potential, its functional derivatives and sensitivity kernels, in an aspherical, heterogeneous planet. We detail our implementation, utilizing a transformation of the Poisson equation into a spherical reference domain, as well
Alex D. C. Myhill, Matthew A. Maitra, David Al‐Attar   +2 more
wiley   +1 more source